How do you prove the SSS congruence theorem?.

Answer:

y=7x+2

Step-by-step explanation:

The standard form to represent the equation of a line is as follows:

Equation of a Line, y = mx + b

Where“m” is the slope of the line

and “b” is the y-intercept

Regression based on data that are summary statistics tends to result in a higher correlation is true statement about regression.

A statistical method called regression links a dependent variable to one or more independent (explanatory) variables. A regression model can demonstrate whether changes in one or more of the explanatory variables are related to changes in the dependent variable. the consequence of doing a regression analysis, which is the mathematical representation of the relationship between a dependent (outcome or response) variable and one or more independent (predictor) variables. Finding the variables that have an effect on an interest issue can be done with accuracy using regression analysis. You can confidently establish which elements are most important, which ones can be ignored, and how these factors interact when you do a regression.

Given,

True statement about correlation is:

Regression based on data that are summary statistics tends to result in a higher correlation.

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The solution to this system of linear equations y - x = 6, y + x = - 10 is (-8, -2).

What is system of linear equations?

The set of two or more linear equations containing the same variables is known as a system of linear equations in mathematics. In this case, linear equations are first-order equations, where the maximum power of the variable is 1. One, two, or three variables may be present in a linear equation.

Given that;

Y - x = 6

Y + x = -10

Let's equalize the two equations as they are both equal to y;

x + 6 = - x - 10

By further calculation

x + x = - 10 - 6

2x = - 16

Divide both sides by 2

x = -8

The value of x should be replaced in either equation;

y - x = 6

y - (-8) = 6

So we get

y + 8 = 6

y = 6 - 8

y = - 2

Therefore, the solution to this system of linear equations y - x = 6, y + x = - 10 is (-8, -2).

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The mathematical expression for the function that gives the center of mass is m=[tex][tex]\int\limits \int\limits[/tex][tex]D_{p}[/tex](x, y)dA[/tex]

The center of mass is a point specified relative to an object or set of things. It is the weighted average position of all the system's pieces. For simple stiff objects with homogenous density, the centroid is the location of the center of mass.

A lamina that occupies the region inside the circle x²+y²=14y

Outside the circle is x²+y²=49.m

x²+y²=[tex][tex]\int\limits[/tex]P(x, y)dA[/tex]

Where

r²=14rsinθ

x²+y²=49r=7

Therefore, the center of mass is-x=[tex](i/m) [tex]\int\limits[/tex]xp(x, y)dA[/tex]

-x=[tex](1/m)[tex]\int\limits \int\limits[/tex](r cosθ)p(r, θ)r drdθ[/tex]

-y=[tex](1/m)[tex]\int\limits \int\limits[/tex]Dyp(x, y)dA[/tex]

-y= [tex](1/m)[tex]\int\limits \int\limits[/tex]D(rsinθ)p(r, θ)r drdθ[/tex]

Therefore, the center of mass is

m=[tex][tex]\int\limits \int\limits[/tex][tex]D_{p}[/tex](x, y)dA[/tex]

The mathematical expression for the function that gives the center of mass is

m=[tex][tex]\int\limits \int\limits[/tex][tex]D_{p}[/tex](x, y)dA[/tex]

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By using the concept of growth, it can be calculated that

There are 7023550 bacteria after 19 hours

What is growth?

Growth is the process in which a value of an object or asset increases at a certain rate over a certain period of time.

Here, concept of growth is used

A culture of bacteria has an initial population of 9700 bacteria and double every 2 hour

So,

[tex]P_0 =[/tex] 9700

d = 2 hours

t = 19 hours

[tex]P_t = 9700 \times 2^{\frac{19}{2}}[/tex]

[tex]P_t = 7023550[/tex]

There are 7023550 bacteria after 19 hours

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The number of points that a letter grade of a B+ avg in a regular class counts for is; 3.3

The following should be noted as used for Undergraduate Grade Points;

- Letter grades of A, B, C, D, and F are used.

- Pluses and minuses could be assigned to grades of B and C.

- Minus may be assigned to an A, while plus may be assigned to a D.

- Temporary grades consisting of IN and AB do not affect grade point average.

- Courses that consist of a grade of PS, SP, BE, W or PL are ignored in establishing the quality point average.

Now, the grade points are assigned as follows:

A = 4.0

A⁻ = 3.7

B⁺ = 3.3

B = 3.0

B⁻ = 2.7

C⁺ = 2.3

C = 2.0

C⁻ = 1.7

D⁺ = 1.3

D = 1.0

F = 0.0

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If 1000 more insects were added then the digit at the thousandth place will change, it will increase by 1.

The number of insects = 8725

1000 more insects added.

Therefore number of insects = 8725 + 1000 = 9725 insects

Hence only the number of insects changes the digit in the thousandths place only.

In the case of decimals, the place value system is equivalent to the whole number for the whole number portion. But there is another world of numbers that persists much past the decimal point, and in this world, we use decimal fractions to express the value.

As we proceed to the left, each place becomes ten times larger than the place value before it. As a result, to the right of each place, we get ones (1), tenths (1/10), hundredths (1/100), and so on.

There are two ways to read a decimal number. Read the whole number first, then the word "point," and finally the fractional part's digits separately.

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The number of tosses required is 3.

On a fair toss of dice, outcomes are 1, 2, 3, 4, 5, 6.

So, a dice has 6 possible outcomes.

Probability refers to the measurement of the likelihood of certain events that will occur.

Probability = (Number of desired outcomes)/(Total number of outcomes)

Probability of occurrence of 6 in one toss = 1/6

We have to find that after how many trials probability of 6 becomes 1/2

Let,s say the number of trials = n

1/6 + 1/6 +1/6 ……...upto n times = ½

n*(1/6) = 1/2

n=3.

Here, we just sum up the probability of 6 in one toss n number of times to get the answer as 3.

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The 4 sign that someone is having as allergic reaction are cell mediated, cytotoxic, immunocomplex and anaphylactic ?

The symptoms and signs that someone having allergic reaction is that

People experienced food allergies also like hives, swelling of the tongue, swelling of tongue, swelling of face. Some of the respiratory symptoms are chest tightness, coughing, shortness of breath, wheezing, throat tightness. There are also some GI symptoms which are diarrhea, vomiting, cramps and abdominal pain.

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The letter options indicate that option C is the memory byte order. 78h,56h,34h,12h

Given,

The data definition;-

BigVal DWORD 12345678h

We have to find the letter choices shows the memory byte order, from low to high address;

Byte order;-

A computer word's numerical order. The order of the digits in computer words with at least 16 bits is referred to as "byte order."

There are two typical approaches for the host's byte order: The least important byte comes first in little-endian byte ordering. For instance, Intel microprocessors employ this technique. The most significant byte comes first in big-endian byte ordering.

Here,

The letter choices shows the memory byte order is option C  78h,56h,34h,12h

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The inequality which can be used to determine c will be " 6000 + 80c ≤ 25000".

Given values are:

The Crates' weight, is 80kg

The greatest weight that can be loaded into the container is 24500 kilograms

Other shipments weighing 6000 kilograms have already been loaded into the container

Let,

The Greatest number of 80kg crates will be "c".

Now,

As we know the formula,

→ By substituting the values, we get

→   6000 + 80 x c ≤ 25000

→   6000 + 80c ≤ 25000      

Thus the inequality which can be used to determine c will be " 6000 + 80c ≤ 25000       "..

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The reflex angle CBD is measured at 70°, while the angle ABC is measured at 110°.

Describe an angle.

Angle is the void between two surfaces or lines that meet. The angle is also expressed in degrees. The angle is 360 degrees for a full rotation.

Linear angle: Two angles are considered linear if their sum is 180 degrees.

The angle ABC will be measured as follows:

∠ABC = 110°

Angles ABC and CDB are examples of linear angles. Next, we have

ABC + CDB equals 180°

110° + ∠CBD = 180°

∠CBD = 70°

Therefore, The reflex angle CBD is measured at 70°, while the angle ABC is measured at 110°.

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Automated External Defibrillator(AEDs) administer an electrical shock. So it is dangerous to use n a victim who is lying on a conductive surface.

In the given question we have to explain what is a danger that would stop us from using an AED.

AEDs can be hazardous to use in damp settings, endangering the patient or the person supplying care. When treating the cardiac arrest sufferer, you must be especially careful because AEDs administer an electrical shock. When submerged in water, never use an AED.

Do not use an AED on a victim who is laying on conductive material. If other people are close to conductive items like metal bleachers or sheet metal, they could also get shocked.

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$1417 can be deducted as student loan interest.

What is loan interest?

The interest on student loan is deductible upto $2500.

This amount starts reducing once the MAGI reaches the Phase out limit.

The phase out starts at $140000 and ends at $170000

Maximum deduction is $2500 or actual whichever is lower,

The deduction of $2500 will reduce here by

2500 * (MAGI-phaseout limit)/(phaseout end- phaseout beginning)

2500 * (153000-140000)/(170000-140000)

=2500*13000/30000

=1083.33

deduction = 2500-1083.33

=$1417

Hence, $1417 can be deducted as student loan interest.

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The value of x is 12.

The angle sum property of a triangle states that the sum of the interior angles of a triangle is 180 degrees.

We are given a triangle with the angles (8x-1), (3x +9) and (3x + 4)

Since we know that the sum of the interior angles of a triangle is 180 degrees.

Therefore,

(8x-1) + (3x +9) + (3x + 4) = 180

8x + 6x + 12 = 180

14x + 12 = 180

14x = 168

x = 12

Hence, the value of x is 12.

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For the given principal amount $5,400 borrowed by a farmer from the bank at the rate of interest 7.36% compounded annually for the time period of 1 year then the amount of interest paid to the bank is equal to $397.44 and the effective interest rate is equal to 7.36%.

As given in the question,

Principal amount borrowed by a farmer from the bank 'P' = $5,400

Rate of interest compounded annually 'r' = 7.36%

Time period 'n' = 1 year

Amount = P [ 1 + (r/100) ]ⁿ

             = 5400 [ 1 + (7.36/100) ]¹

             = 5400 [ (100 + 7.36)/100]

             = 54 × 107.36

             = 5797.44

Amount of Interest paid to the bank = Amount - Principal amount

                                                            = 5797.44 - 5400

                                                            = $397.44

x = number of times compounding occurs in one year.

Here 'x' = 1

Effective Interest rate = [ 1 + (r/x) ]ˣ -1

                                    = [ 1 + ( 7.36%/1)]¹ -1

                                    = 1 + 7.36% - 1

                                    = 7.36%

Therefore, for the given principal amount $5,400 borrowed by a farmer from the bank at the rate of interest 7.36% compounded annually for the time period of 1 year then the amount of interest paid to the bank is equal to $397.44 and the effective interest rate is equal to 7.36%.

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The mean is easy to calculate. Simply add all of the values together and divide by the number of observations in your dataset.

The median is the value in the middle of a list that is ordered from smallest to largest.

The mode value appears the most

The mean, median, and mode are the three most common measures of central tendency. The most common value is the mode. In an ordered data set, the median is the number in the middle. The mean is calculated by taking the sum of all values and dividing it by the total number of values.

The mean is the arithmetic average, and it is probably the most familiar measure of central tendency.  The mean calculation takes into account all of the values in the data.

Let's assume we've the numbers 2, 5, and 5. The mean will be:

= (2 + 5 + 5) / 3

= 12/3

= 4

The median is 5 and the mode is also 5. The mode is the number that occurs most.

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3/7  is the probability that martin is served a main course.

What is the simple definition of probability?

A probability is a number that expresses the possibility or likelihood that a specific event will take place.

                            In addition to being expressed as percentages ranging from 0% to 100%, probabilities can also be expressed as proportions between 0 and 1.

A = Served with main course

n(A) = 6

S = sample space total no of different courses

n(S) = 6 + 3 + 5 = 14

P(A) = n(A)/n(S)  = 6/14 = 3/7

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Using Pythagorean Theorem, the length of the line segment from (-3, 10) to (4, -1) is 13 units.

Pythagorean theorem describes the relationship between the sides of a right triangle. It states that the square of the hypotenuse is equal to the sum of the squares of the two other side.

c² = a² + b²

Let a = vertical distance between the two points

b = horizontal distance between the two points

c = distance between the two points / length of line segment

Hence, c² = (|y₂ - y₁|)² + (|x₂ - x₁|)².

Substitute the values of x and y and solve for c.

c² = (|y₂ - y₁|)² + (|x₂ - x₁|)²

c² = (|-1 - 10|)² + (|4 - -3|)²

c² = (|-11|)² + (|7|)²

c² = 11² + 7²

c² = 121 + 49

c² = 170

c = 13.04

length of line segment ≅ 13 units

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The linear equation for the given situation is represented as:

20x + 12y = 1,300

correct answer option: b

A general linear equation in two variables is defined as an equation of the form ax + by + c = 0, where x and y are the two variables and a, b, and c are real numbers and a and b are non-zero (x and y).

Given:

We use variables to represent the cost of the big and the smaller boxes.

According to the question, let x be the selling price of the big boxes.

The selling price of the bigger boxes is y.

The total selling price of the smaller boxes is 20x.

The total selling price of the bigger ones is 12y.

Now we know he is making a profit of $1,300 on the total transaction.

Hence the linear equation in two variables for the given situation is represented as:

20x + 12y = 1,300

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I understand that the question you are looking for is:

Jackson sells two types of toolboxes. he plans on selling them during a farming fair this weekend. He estimates he will sell 20 of the smaller boxes (X) and 12 of the larger boxes (Y). if he'd like the profit to be $1300, which of the following best displays the equation that represents this information?

A-  y+12=20(x-1300)

B-  y=- [tex]\frac{5}{3}[/tex]x+ [tex]\frac{325}{3}[/tex]

C-  20x+12y=1300

D-  12y=20x-1300

Upon receiving notice of a hearing, a Nevada real estate licensee who is the subject of the complaint is required to file an answer denying the allegations made.

Within the real estate division, there is a five-member panel known as the Nevada Real Estate Commission. Within 30 days of receiving the complaint, licensees must submit an answer to it. The licensee must either admit the allegations are accurate or dispute them in their response. If the license holder disputes the allegations, they must provide the rationale for doing so. If the licensee doesn't provide an answer, they will automatically be found guilty of the allegations and subject to commission reprimand.

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The equation of a line is typically written as y = MX + b where m is the slope and b is the y-intercepts.

First of all, remember what the equation of a line is:

y = MX + b

Where:

All you really have to do here is

replace m with 0, which is the slope you gave, and

replace b with 0, the y-intercept you gave,

in the equation y = MX + b.

If a point crosses the y-axis, then its miles are referred to as the y-intercept. The means of intercept of a line is the thing at which it intersects both the x-axis and y-axis.

in case you examine the graph, you may see that the factor in which Stealth is 0 and choice is 5 hits proper on the critical, vertical line - the y-axis. for the reason that this factor touches, or intercepts, the y-axis, its miles known as the y-intercept.

The x-intercept is in which a line crosses the x-axis, and the y-intercept is the thing in which the road crosses the y-axis.

y = MX + b is the slope-intercept shape of the equation of a straightaway line. inside the equation y = MX + b, m is the slope of the street, and b is the intercept. x and y represent the gap of the street from the x-axis and y-axis, respectively. The value of b is the same as y whilst x = zero, and m shows how steep the street is.

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The graph of f(x) = x will shift to the left 11 units because negative 11 is being subtracted from x which will be the required transformation.

Taking into account that f(x) = x becomes f(x) = x+11

This shows a horizontal displacement of x of 11 units to the left.

This is true since the original graph's origin is the x intercept. for a new purpose

x's intercept is -11.

The option it contains is the right one.

11 units to the left, I shifted.

x is taken away from by a negative -11.

Transform the coordinate plane's shapes by translating, rotating, or reflecting them. In the 19th century, Felix Klein introduced transformational geometry, a novel perspective on geometry. The majority of proofs in geometry are built upon object transformations. Any image in a coordinate plane can be altered using transformations.

Disclaimer : the complete question is :

How will the input of f(x + 11) affect the graph of f(x) = x? Explain.

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Answer:

19

Step-by-step explanation:

a²-6

where, a=5

(5)²-6

25-6

19

Answer:

[tex]\huge\boxed{\sf 19}[/tex]

Step-by-step explanation:

a² - 6

Put a = 5

= (5)² - 6

= 25 - 6

= 19

[tex]\rule[225]{225}{2}[/tex]

Answer:

Step-by-step explanation:

I'm pretty sure its the number 4! That's where the angle is!

Answer:

4

Step-by-step explanation:

because as you can see in the picture

I hope this helps you!

The 5 steps in dividing rational expressions are explained below.

Rational expression seem to be parts that have factors in their denominators (and frequently numerators as well). For instance, x 2 x + 3 \dfrac{x^2}{x+3} x+3x2 start part, x, squared, separated by, x, furthermore, 3, end portion is a reasonable articulation.

1) Take the rational expression.

2) Rewrite the division as the product of the first rational expression then, the reciprocal of the second.

3) Factor the numerators and denominators of rational expression completely.

4) Multiply the numerators and denominators together.

5) Simplify by dividing out common factors.

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The dilation and scale factor would be considered as imilarity transformation.

In general, similarity transformations preserve angles. Side lengths are enlarged or reduced according to the scale factor of the dilation. This means that similar figures will have corresponding angles that are the same measure and corresponding sides that are proportional.

Similarity transformations include dilation and any number of rigid transformations. In a similarity transformation, the ratio of the lengths of corresponding sides in the image and the pre image is equal to the scale factor of dilation. Two or more similar figures will have corresponding sides that are proportional in length.

Hence the answer is the dilation and scale factor would be considered imilarity transformation.

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The slope-intercept representation of a linear function is given by the rule shown as follows:

y = mx + b

The coefficients of the function, along with their meaning, are listed as follows:

Given two points, only one line will pass through them.

Using a calculator, the lines are given as follows:

Then the x-coordinate of the point in which the lines intersect is obtained as follows:

4x - 1 = -1.25x + 10.5

5.25x = 11.5

x = 2.19.

The y-coordinate can be found in any of the equations, hence:

y = 4(2.19) - 1 = 7.76.

Another point on the line y = 4x - 1 has a x-coordinate of 3 and an y-coordinate obtained as follows:

y = 4(3) - 1 = 12 - 1 = 11.

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